Pith Number

pith:YCF6PM2P

pith:2026:YCF6PM2P7MPWFBFNXSFXA7WU37

not attested not anchored not stored refs pending

On the complexity of extensions of non-archimedean Polish groups admitting a compatible complete left-invariant metric

Longyun Ding, Xu Wang

arxiv:2605.24379 v1 · 2026-05-23 · math.LO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCF6PM2P7MPWFBFNXSFXA7WU37}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-26T01:03:02.789912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c08be7b34ffb1f6284adbc8b707ed4dffdb43754d6c1c3aadaf775e9e229170b

Aliases

arxiv: 2605.24379 · arxiv_version: 2605.24379v1 · doi: 10.48550/arxiv.2605.24379 · pith_short_12: YCF6PM2P7MPW · pith_short_16: YCF6PM2P7MPWFBFN · pith_short_8: YCF6PM2P

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YCF6PM2P7MPWFBFNXSFXA7WU37 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c08be7b34ffb1f6284adbc8b707ed4dffdb43754d6c1c3aadaf775e9e229170b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5c8eb6d1dccb20deb5790b64fdd435f216c3854b2cbe2c2714171766e6af3b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-23T03:36:08Z",
    "title_canon_sha256": "f505e223b0be2b836065572e6d86de1b42b49bec4da186937dc0cad5420443ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24379",
    "kind": "arxiv",
    "version": 1
  }
}